Evaluate the triple integral. y dv, where E = {(x, y, z) | 0 s x < 5, 0 s y s x, x - y szs x + y}

Q: 4) Evaluate the following integrals: a) SII (z² + + 1)ev² dx dz dy . R = [0.y] × [0.20] × [0. In 0]

A: Dear Bartleby student, according to our guidelines we can answer only three subparts, or first…

Q: Evaluate the iterated integral. 4 1 v1-z seº dx dz dy 0 0 0

A: given  :

Q: a) Integrate the following integrals i) S(4e2 + Vx) dx Sx(3+x²)10 dx ii)

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Q: The particular integral of (D – 1)y= x i,

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Q: b) Change the order of integration in the following double integrals: 1. ff(x,y) dxdy. 2. ²-y²…

A: We will change the order of the given integrations

Q: Evaluate the integrals: B:S, S' S'(x² + y² + z²)dz dy dx

A: ∫01∫01∫01x2+y2+z2 dz dy dx

Q: The improper integral A e B C) O D 1 if the 0 ∞ ex dx is

A: Solve the integration  From 0 to ♾️ for the integrand e-x.

Q: Q.3 Find the double integral for L. x² dydx, where R between y = 1/x , y = x and x = 2 SR

A: From the given region, y varies from y = x  to y = 1/x and x varies from x = 1 to x = 2. The…

Q: The improper integral A) 0 B 1 C D) e 8 ·+∞o Ste ex dx is

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Q: || x²v d4 where D { (x,y) : xs y s 2+x, -1sxs2}. 2. sys2+x,-1<x<2}. D

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Q: Evaluate the integral by integrating with respect to​ x, y, and z.

A: Given integral is,

Q: Evaluate the triple integral. II y av, where E {(x, y, z) | 0 s x s 5, 0 s y s x, x - y szS x + y}

A: Here, we have to evaluate the triple integral

Q: Use the indicated change of variables to evaluate the double integral. I/ 16(x? + y²) dA -(u + v) X…

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Q: Evaluate the double integral. 4y dA, D = {(x, y) | 0 s x s 1, 0 sysx} 6x + 1

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Q: Evaluate the integral. cln4 cln 3 n(e*+y) dy dx Evaluate the integrated integral. S(x + 2y)dy

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Q: 3. Interchange the order of integration in the following repeated integrals So SA f(x, y) dy dx O So…

A: Here the limit of y varies from y=x2 to y=x and x varies from x = 0 to x = 1. If we want to vary…

Q: Evaluate the double integral ∫∫R  y / (1 +xy)2 dA, where R= [0,1]×[0,1].

A: Given integral is  where  R= [0,1]×[0,1].

Q: Evaluate the double integral. 7x dA, D = {(x, y) | 0 <xS A, 0 s y s sin(x)}

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Q: Evaluate the integral (x + z) dS where S is the part of the cylinder y + z2 = 4 with x E [0, 9].

A:

Q: 1. Evaluate the improper integral or show that it diverges. (a)/ e* dx 8. (b) / dx (c) d.r (d) /…

A: If the limit exists and is a finite number , we say that the improper integral converges .If the…

Q: valuate the iterated integral below. π/4 1 St. + S² = 0 0 y cos (x) dy dx

A:

Q: Evaluate the double integral: To L 0 y x7 +1 y¹/3 x7 dx dy.

A: The given integral is: I=∫08∫y132yx7+1dxdy   So, The limit of the x varies from y13 to 2. The limit…

Q: Evaluate the triple integral. y dV, where E = {(x, y, z) | 0 < x < 5, 0 < y s x, x – y < z s x + y}

A: To evaluate the given triple integral.

Q: Evaluate the double integral ∬Dx2dA,∬Dx2dA, where D={(x,y):1≤x≤e,0≤y≤lnx}D={(x,y):1≤x≤e,0≤y≤ln⁡x}.

A: To evaluate:

Q: Evaluate the triple integral. -{x, v. 2) 1 0 s x s 1,0 s ys x, x szs 2x} 19yz cos(16x5) dV, where E…

A: According to the given information, it is required to evaluate the triple integral.

Q: Evaluate the double integral. y dA, D = {(x, y) | 0 s x s 2, 0 sys Vx} x2 + 1

A:

Q: 16x? +z? = 16. Write the integral of f(x,y,z) over D in the order given below. SSS xy2) dz dx dy D |…

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Q: 5. Evaluate the double integral (a + 3x + bry) dA, where R= {(x, y) E R² : |x|+ |y| 0 and b > 0).

A: To Evaluate: ∬Ra+3x2+bxydA, whereR=x,y∈ℝ2:x+y≤1

Q: Evaluate the double integral. y dA, x2 + 1 D = {(x, y) | 0 <x< 3, 0 sy s Vx} ID

A:

Q: Extend your knowledge of double integrals to evaluate the triple integral So So S**** f(x, y, z) dz…

A: Given that I=∫01∫0x∫01+x+yf(x,y,z) dzdydxTo extend the double integral to triple integral.

Q: Evaluate the integral ſ xe²" dx; * dx; u=x, dv= e²ª dx using integration by parts with the indicated…

A:

Q: Evaluate the double integral. y dA, x2 + 1 D = {(x, y) | 0 s x< 6, 0 s y s Vx}

A: Answer and explanation is given below

Q: Evaluate the triple integral. y dV, where E {(x, y, z) | 0 < x < 2, 0 < y < x, x – y < z < x + y}

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Q: Q.3 Find the double integral for L. x? dydx, where R between y = 1/x ,y= x and x = 2

A: From the given problem:   I=∫∫Rx2dydx   And curves are: y=1x; y=x and x=2   So the bounded region is…

Q: (xz - y³) dv, where E = (x, y, z)| -1 s xs 3, 0 s ys 4, 0 szS7

A:

Q: Calculate the iterated integral. '1 I l'x+e-Y) dx dy Need Help? Read It

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Q: 1. Evaluate the integrals and sketch the region of integration. 1) º, S(+y +1)dædy 2) So , 1 sin…

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Q: Write an equivalent integral with the given order of integration 1/2 el-472 1-2z c9(2) pk(1,2) |…

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Q: 7. Extend your knowledge of double integrals to evaluate the triple integral Si Si S (x,y.z) dz dy…

A: Find: the value of ∫01∫0x∫01+x+y fx, y, z  dz dy dx.

Q: Evaluate the iterated integral below. П | 1 S. * S'y cas (x) dy Só 0 0 dx

A: While doing multiple integrals, consider everything constant except the integrand variable.

Q: The improper integral (A) e B) 0 с 00 D 1 8 0 edx

A: ∫0∞e-xdxSubstitute u=-x→dudx=-1→du=-dx=∫-e-x

Q: ]] x² + y² 1+ y² dx dy

A: We have to evaluate the integral ∬x2+y21+y2dxdy, Where D:0≤x≤y≤1 Here, limit of x is 0≤x≤y And limit…

Q: | x dx dy be a double integral. What will be the equivalent expression if the Let switched? .2 e I…

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Q: Evaluate the double integral for R: 0<y<1,0<x<y² . Sly e*dxdy .

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Q: Calculate the double integral. ∫∫ ey ^2 dA, D= {(x,y)| 0≤ y ≤3, 0≤ x ≤ y}

A:

Q: Evaluate the double integral x* dA, where D = {(x, y) : 1 < x < e,0< y< In x}. %3D

A: The solution is given as

Q: Evaluate the double integral. y dA, D x2 + 1 D = {(x, y) | 0 < x< 2,0 s y s Vx}

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Q: x cos y dA, where D is D. x², and x = Evaluate the double integral bounded by y 0, у Answer:

A: Let's find.

Q: Evaluate the iterated integral. Triple Integral: (Outside to inside) Integral from 1 to 7, Integral…

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Q: Evaluate the iterates integrals 2) r*dA D = {(x, y) : 1 < a <e, 0< y S In(x)}

A: